Speed of "for" loops

Is there something peculiarly slow about using "for" loops? I have several "for" statements within each other (is this called "nested"?). I have estimated that it needs to perform a calculation involving trig functions roughly 1.12 * 10^10 times.

Should this really be taking over half an hour? Any hints? I am wondering if it is possible to "vectorize" some of my code.

"John " <johnps@gmail.com> wrote in message <itoibv$e5j$1@newscl01ah.mathworks.com>...
> Is there something peculiarly slow about using "for" loops? I have several "for" statements within each other (is this called "nested"?). I have estimated that it needs to perform a calculation involving trig functions roughly 1.12 * 10^10 times.
>
> Should this really be taking over half an hour? Any hints? I am wondering if it is possible to "vectorize" some of my code.
>
> Please bear in mind I'm new to Matlab.

Suppose that I want to "vectorize" to make things faster-- if that does indeed make it faster. Suppose F1, A1, F2, A2, F3, A3, F4, and A4 are all vectors. (Fx is a calculated value). I want to calculate every single possibility, which can be done with loops. Why won't the following code work instead? It says inner dimensions must agree. Can this only be done with loops?

"John " <johnps@gmail.com> wrote in message <itoisp$fdh$1@newscl01ah.mathworks.com>...
> "John " <johnps@gmail.com> wrote in message <itoibv$e5j$1@newscl01ah.mathworks.com>...
> > Is there something peculiarly slow about using "for" loops? I have several "for" statements within each other (is this called "nested"?). I have estimated that it needs to perform a calculation involving trig functions roughly 1.12 * 10^10 times.
> >
> > Should this really be taking over half an hour? Any hints? I am wondering if it is possible to "vectorize" some of my code.
> >
> > Please bear in mind I'm new to Matlab.
>
> Suppose that I want to "vectorize" to make things faster-- if that does indeed make it faster. Suppose F1, A1, F2, A2, F3, A3, F4, and A4 are all vectors. (Fx is a calculated value). I want to calculate every single possibility, which can be done with loops. Why won't the following code work instead? It says inner dimensions must agree. Can this only be done with loops?
>
> thrustx =
> F1.*cos(A1)+F2.*cos(A2)+F3.*cos(A3)+F4.*cos(A4)+
> Fx;
- - - - - - -
I would advise you to give us the specifics of your problem. Show us the nested for loops and the sizes of vectors involved. Vague statements such as "calculate every single possibility" don't help much.

On Jun 21, 10:51 am, "John " <joh...@gmail.com> wrote:
> "John " <joh...@gmail.com> wrote in message <itoibv$e5...@newscl01ah.mathworks.com>...
> > Is there something peculiarly slow about using "for" loops? I have several "for" statements within each other (is this called "nested"?). I have estimated that it needs to perform a calculation involving trig functions roughly 1.12 * 10^10 times.
>
> > Should this really be taking over half an hour? Any hints? I am wondering if it is possible to "vectorize" some of my code.
>
> > Please bear in mind I'm new to Matlab.
>
> Suppose that I want to "vectorize" to make things faster-- if that does indeed make it faster. Suppose F1, A1, F2, A2, F3, A3, F4, and A4 are all vectors. (Fx is a calculated value). I want to calculate every single possibility, which can be done with loops. Why won't the following code work instead? It says inner dimensions must agree. Can this only be done with loops?
>
> thrustx =
> F1.*cos(A1)+F2.*cos(A2)+F3.*cos(A3)+F4.*cos(A4)+
> Fx;
>
> Thanks again.

Vectorising may or may not help.
What will help, though, is pre-allocating vectors and matrices,
thereby removing variables that "grow" within a loop.
In your equation, do this and show us the results:
[size(F1) size(A1) size(F2) size(A2) size(F3) size(A3) size(F4)
size(A4) size(Fx)]
For the equation to work, the sizes must all be exactly the same.

> I want to calculate every single possibility, which can be done with loops.

Here all the alarm bells in my mind go off:

1) You *want* to do these computations. That's not an issue;
what matters is what computations you *need* to do.

Whenever you use the term 'want', take two and think
very carefully about what you *need*: Those two are
usually sufficiently different to make a significant
impact of feasability.

2) The same goes for the phrase 'all possible combinations'.
Numbers very quickly grow very large.

People who use this pharse usually don't know what they
are doing or why. Instead of spending huge amounts of
time and efforts computing numbers that tell you nothing,
make an effort to find those numbers that tell you
whatever it is you want to find out.

On Jun 21, 12:42 am, "John " <joh...@gmail.com> wrote:
> Is there something peculiarly slow about using "for" loops? I have several "for" statements within each other (is this called "nested"?). I have estimated that it needs to perform a calculation involving trig functions roughly 1.12 * 10^10 times.

Ten billion computations on a 2'is GHz computer
would require at least 5 s. Trig functions might
require a lot more than one clock cycle each;
complicated expressions even more. Then there is
cache misses in memory look-ups top watch out for,
those might take significant time.

So you should expect run times on the order of
minutes.

> Should this really be taking over half an hour? Any hints? I am wondering if it is possible to "vectorize" some of my code.

Keep in mind that matlab is an interpreted language.
There is a significant overhead involved with that, as

1) The computer needs to do a lot more work than in
the nitty-gritty 'distilled-to-the-core' case

2) The data contains a lot more additional information
than is needed in a compiled language, which might
tend to fragment the data footprint in RAM.

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